Answer: 97
Step-by-step explanation:
This can be translated to:
The Grandfather, Don José, is a old man, but is not over 100 years old.
Last year his age was a multiple of 8, and next year will be a multiple of 7.
Find the age of Don José.
Ok, if the age of Don José is X, we have that:
X is a number of two digits.
X + 1 is a multiple of 7
X - 1 is a multiple of 8.
ok, the multiples of 7 are:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
the multiples of 8 are:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
Now we must find any two numbers (one for each set) that are distanced by 2 units (because the difference between X + 1 and X - 1 is: (X + 1) - (X - 1) = 2)
We also must have that the larger number comes from the set of the multiples of 7, and the smaller number comes from the set of multiples of 8, the numbers are:
98, is multiple of 7 and this is X + 1
96 is multiple of 8 and this is X - 1
then X = 97,
Evaluate the expression 3 x
{10 +1} +5.
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
What is the GFC of 15 and 57. Plz tell me I need help
Step-by-step explanation:
3
What is the measure of mop
if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all
Answer:
rock: not rock
7:13
Step-by-step explanation:
First determine how many songs are not rock
60-21 = 39
There are 39 songs that are not rock
ratio of rock to not rock
rock: not rock
21:39
We can divide by 3
21/3:39/3
7 : 13
Complete 5-8 for 15 points.
A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.
Answer:
9,216π or 28,938.2 meters³
Step-by-step explanation:
Given: diameter 48 inches
Radius 24 inches
Note:
Volume of hemisphere = volume of sphere / 2
Volume of hemisphere = 1/2 • 4/3 • πr³
= 1/2• 4/3×π×24³
= 1/2•18432π
= 9,216π
= 28,938.2 meters³
A car travels 294 miles in 5 hours and 15 minutes. How many miles does it travel per hour?
Answer:
Hey!
Your answer is 56 miles!
Step-by-step explanation:
To find speed, we do 294 divided by 5hrs and 15mins (5.25)
So next= 294 / 5.25
Which gives us 56 mph!
HOPE THIS HELPS!!
The car travel 56 miles per hour.
What is Speed?The speed can be defined as the rate at which an object covers some distance.
Here, we know that,
Speed = Distance / Time
Now, Distance = 294 miles
Time = 5 hours and 15 minutes
= 5.25 hours.
Now, Speed = 294 / 5.25
= 56 miles per hour.
Thus, the car travel 56 miles per hour.
Learn more about Speed from:
https://brainly.com/question/7359669
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A person invests 6500 dollars in a bank. The bank pays 5.5% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 9300 dollars?
Answer:
6.5 years
Step-by-step explanation:
which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
Plus in the coordinates
-1 = -2/3(-3) + b
negative times negative = positive
-2/3 * -3 = 2
-1 = 2 +b
Use inverse operations
-2 --2
-3 = b
y = -2/3x - 3
Answer:
y = -2/3 x - 3
Step-by-step explanation:
since you have a point and a slope, you can use point - slope form
[tex]y - y_{1} = m (x - x_{1} )[/tex] plug in the point as [tex](x_{1}, y_{1})[/tex] and the slope as my - (-1) = -2/3(x - (-3)) change two negatives into positivey + 1 = -2/3 (x+3) distribute the -2/3y + 1 = -2/3x - 2 subtract 1 from both sidesy = -2/3 x -3Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is
Answer:
1152 in ^ 3
Step-by-step explanation:
We know that the width is:
w = 4 in
They also tell us that the length is three times the width, therefore:
l = 3 * w
l = 3 * 4 = 12
l = 12 in
and as for the height, they tell us that it is twice the length, so:
h = 2 * l
h = 2 * 12 = 24
h = 24 in
now the volume is w * l * h, replacing:
v = 4 * 12 * 24
v = 1152
volume equals 1152 in ^ 3
please answer from the attachment
Look at the attached picture
Hope it will help you..
Good luck for the test...
(◕ᴗ◕✿)(ʘᴗʘ✿)
Micheal has a set of 5 cards shown below. Micheal wil randomly select a card, not replace it, then select another card. What is the probibality That he selects a prime number and then a 1?
Answer:
3/20 or 15%
Step-by-step explanation:
Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.
To find the probability you need to multiply the two probabilities together.
3/5 times 1/4 is 3/20.
So your answer is 3/20 or 15%.
The prism's volume is the area of the base,
times the height,
Since the ratio of the areas is then the volume of
the cylinder is times the volume of the prism.
V = (4rº), or
Answer:2r(2r)
R
pi/4
pi times r cubed
Step-by-step explanation: just answer it e2020
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?
Answer:
9:2
Step-by-step explanation:
Put in what we know
cars: motorcycles
9 2
Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane.
Answer:
in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.
Step-by-step explanation:
Im really dumb. Like really dumb. Please help! Gn
Answer:
3√34
17.5
Step-by-step explanation:
Use the Pythagorean theorem: a^2 + b^2 = c^2
a = 9
b = 15
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
c = 3√34 ≈ 17.5
Answer:
your answer would be 17.5 and i think you are very smart
Step-by-step explanation:
Find the area of the parallelogram
Answer:
17.94
Step-by-step explanation:
Area of a parallelogram is base times height.
Base: 3.9 in
Height: 4.6 in
3.9x4.6=17.94
Please help! This is Quadratic Formula and the discriminant. The answer is -3+3 square root symbol 5 over 2. Every time i try to get that answer I get a different one. Please help asap
Answer:
See explanation
Step-by-step explanation:
[tex]n^2+3n-7=2[/tex]
Subtract 2 from both sides:
[tex]n^2+3n-9=0[/tex]
Using the quadratic formula:
[tex]n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}[/tex]
I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
ASSIGNMEN
Solve the following linear system of equations using substitution.
y = 3x - 5
y = 2x - 6
O (3, 2)
0 (-5, -6)
(-1,-8)
(1, -2)
DONE
Answer:
(-1,-8)
Step-by-step explanation:
Raphael surveyed his coworkers to find out how many hours they spend on the Internet each week.
The results are shown below.
14, 22, 10, 6, 9, 3, 13, 7, 12, 2, 26, 11, 13, 25
Drag numbers to record the frequency for each range in the table.
Numbers may be used once, more than once, or not at all.
01234567
Hours on the Internet
Hours Frequency
0–4
5–9
10–14
15–19
20–24
25–29
I WILLL MAKE BRAINLIEST AND GIVE THEM ALL MY POINTS AND GIVE THEM % STARS AND A LIKE IF YOU ANSWER THESE TWO QUESTIONS ASAP NOW!!!!!!!!!!!!!!
The histogram shows the scores on a recent science test.
Using the histogram, select all of the true statements that describe the data.
Histogram named as
The frequency of each range in the table is as follows:-
Range Frequency
[tex]0-4[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]2[/tex]
FrequencyThe frequency of a particular value is the number of times the value occurs in the data.
How to find the frequency of a particular value?First, find the number of times the particular value occurs in the given data.
Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.
The results are:-
[tex]14,22,10,6,9,3,13,7,12,2,26,11,13,25[/tex]
Thus, the number of occurence of a particular range can be written as follows:-
Range Hours in given data Frequeny
[tex]0-4[/tex] [tex]3,2[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]6,9,7[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]14,10,13,12,11,13[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]22[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]26,25[/tex] [tex]2[/tex]
Hence, the frequency of each range in the table is as follows:-
Range Frequency
[tex]0-4[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]2[/tex]
#Learn more about the frequency here-
https://brainly.com/question/5102661
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determine the slope an y intercept :
y = 3/2x + 3
Answer:
Slope: -3/2 y intercept: 3
Step-by-step explanation:
What value of x makes the
equation frue?
X - 13 = 25
Answer:
38
Step-by-step explanation:
x-13=25
+13 +13
_________
x=38
Answer:
38
Step-by-step explanation:
38-13=25.
To find this add thirteen to 25
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.
Answer:
$25+$45=$70
Step-by-step explanation:
The only thing you have to do is add $25 and $45 hope this helps :)
Huixian needs 171 pens , 63 pencils and 27 erasers into identical gift bags so that each item is equally distrusted among the gift bags . Find the number of each item in a gift bag
Answer:
57 pens per bag
21 pencils per bag
9 erasers per bag
Step-by-step explanation:
Here, we are to distribute a specific portion of each of the items in each of the gift bags.
What we must take into consideration is that the number of items per gift bag must be equal.
Thus, what we do is to divide the total number of each item by 3 to get exactly the number of each items that would be in each of the gift bags
For the pens, we have 171/3 = 57 pens per bag
For the pencils, we have 63/3 = 21 pencils per bag
For the erasers, we have 27/3 = 9 erasers per bag
Find the surface area.
Any help will be appreciated. Thank you
Answer: 144 units squared
Step-by-step explanation:
Rec- 3 x 11 = 33
Rec- 4 x 11 = 44
Rec- 5 x 11 = 55
Tri- 3 x 4 = 12 12/.5 = 6
Tri- 3 x 4 = 12 12/.5 = 6
33 + 44 + 55 + (6 x 2)
33 + 44 + 55 + 12 = 144
Which steps should be taken to solve the equation 2x+3=x+5. Check all that apply
Answer:
Remove 1 x tile and 3 unit tiles from each side
Step-by-step explanation:
technically you can do any of them, but I don't think that's what your teacher wants.
A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.
PLEASE CHECK UR ANSWER
Answer:
1 1/2 i think
Step-by-step explanation: to find out the batteries price you subtract 2.50 from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.
